High School Mathematics - 2 10.18 Trignometry Review

Function

0^{o}

30°

45°

60°

90°

sin

Ö0/2

Ö1/2

Ö2/2

Ö3/2

Ö4/2

cos

Ö4/2

Ö3/2

Ö2/2

Ö1/2

0

tan

0

Ö3/3

1

Ö3

undefined

sec

1

2Ö3/3

Ö2

2

undefined

csc

undefined

2

Ö2

2Ö3/3

1

cot

undefined

Ö3

1

Ö3/3

0

sin

cos

tan

0

0

1

0

90

1

0

infinity

180

0

-1

0

270

-1

0

infinity

Functions of angles in all quadrants in terms of those in quadrant 1

-A

90^{0} ± A P/2 ± A

180^{0} ± A P ± A

270^{0} ± A 3P/2 ± A

360^{0} ± A 2P ± A

sin

-sinA

cos A

±sin A

-cosA

±sin A

cos

cos A

±sin A

-cos A

±sin A

cos A

tan

-tan A

±cot A

± tan A

±cot A

±tan A

csc

-csc A

sec A

± csc A

-sec A

±csc A

sec

sec A

± csc A

-sec A

±csc A

sec A

cot

-cot A

± tan A

± cot A

±tan A

± cot A

Q 1: The angular elevation of a tower from a point is 30 degrees at a point in a horizontal line to the foot of the tower and 100 metres near it is 60 degrees, find the distance of the first point from the tower. Answer:

Q 2: cos 75^{o} Answer:

Q 3: If the shadow of a tower is 30 metres, when the sun's altitude is 30^{o}, what is the length of the shadow when the sun's altitude is 60^{o}? 100 metres 240 metres 200 metres

Q 4: In triangle ABC, a= 15 cm, B = 68 degrees, C = 43 degrees, find b, c and B. A = 69 degrees, b = 4.89 cm, c = 10.96 cm A = 60 degrees, b = 3 cm, c = 7 cm A = 60 degrees, b = 4 cm, c = 9 cm

Q 5: In a circle of diamter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc of the chord. /3 20/3 5/3

Q 6: What is the angle of elevation of the sun when the length of the shadow of a pole is 3^{1/2} times the height of the pole? 90^{o} 60^{o} 30^{o}

Q 7: Given cos T = 3/5, calculate the value of sin T, tan T. Answer:

Q 8: In a triangle ABC, a = 2, b = 3 and sin A = 2/3, find angle B. 80 degrees 75 degrees 90 degrees

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!